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M. H. Poursaeed 《Statistical Papers》2010,51(2):409-419
In the study of the reliability of technical systems, k-out-of-n systems play an important role. In the present paper, we consider a (n − k + 1)-out-of-n system consisting of n identical components such that the lifetimes of components are independent and have a common distribution function F. It is assumed that the number of monitoring is l and the total number of failures of the components at time t
i
is m
i
, i = 1, . . . , l − 1. Also at time t
l
(t
1 < . . . < t
l
) the system have failed or the system is still working. Under these conditions, the mean past lifetime, the mean residual
lifetime of system and their properties are investigated. 相似文献
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In this paper, a parallel system consisting of a finite number of identical components with independent lifetimes having a common distribution function is considered, when the failure time of the system is restricted to a finite interval (double regularly checking). Under these conditions, the mean past lifetime (MPL) of the system is presented and some of its properties are derived. It is shown that the underlying distribution function can be recovered from the proposed MPL. Then, a consistent estimator for MPL is presented and some of its properties are studied. This estimator also could be used for the single monitoring case or ordinary MPL. Finally, some properties of the MPL of a parallel system with nonidentical components are discussed. 相似文献
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Urban Ecosystems - Urban agriculture can provide food security that is essential to sustainable development goals. Citizen education plays a vital role in urban agriculture formation. The present... 相似文献
5.
Mohammad Hossein Poursaeed 《统计学通讯:理论与方法》2020,49(7):1761-1767
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